Wrapping a 2D net over a 3D object
You can use a conbination of Mesh Deform and Cloth simulation with proper settings.


Create a grid plane to cover the whole net;
Add Cloth Simulator to it, then Solidify modifier;
Tweak settings of them;
Add Mesh Deform modifier to the net object. (use higher Presision value if necessary, then Band)
Then play or bake the final shape. Delete the grid mesh (optional).








Example File